Profit and Loss Aptitude Questions & Answers
This section focuses on "Profit and Loss" of Quantitative Aptitude. These Multiple Choice Questions (mcq) should be practiced to improve the Quantitative Aptitude skills required for various interviews (campus interviews, walk-in interviews, company interviews), placements, entrance exams and other competitive examinations.
1. If 20% discount is allowed on the marked price then the profit is 40%. If the discount is increased to 40%
then what will be the profit percentage?
selling price= 140%;
marked price = 140%
40%discount in mp= 175 *60/100
new profit%= new sp-cp/cp *100
2. A seller sold a cloth for Rs. 720 after giving 20% discount on the labelled price. Had he not given the
discount, he would have earned a profit of 40% on the CP. what was the Cp of the cloth?
Explanation: Let CP= x
Sp of each cloth =80/100*x =720
x= 720*100/80 =900
CP= 900* 100/140
3. On selling 9 pens at Rs. 360, there is a loss equal to the cost price of 3 pens. The cost price of a pen is:
Explanation: CP of 9 pens - Sp of 9 pens = Cp of 3 pens
Cp of 6pens = Sp of 9 pens = 360
Cp of 6pens =360
CP of 1 pen= 360/6= 60.
4. Sekar gives the discount of 42% for nokia phone, after he marked the price 29% more than its cost price.
find his loss or profit %?
Explanation: Cp= 100
Sp=129*42/100 =129-54.18 =74.82
Loss% = (100-74.82)
5. Reeta buys an old cycle for Rs.2500 and spends Rs.300 on its repairs. If he sells the cycle for Rs.3200,
his gain percent is?
Explanation: Profit Percentage = Profit / cost price x 100
Cost price = 2500+300 = 2800
Profit = sp-cp
Profit percentage = 400 / 2800 x 100
6. P sells a bike to Q at a profit of 25%. Q sells it to R at a profit of 30%.If R pays Rs.273 for it, the cost price
of the bike for P is:
Explanation: Selling price for q is Rs. 273
Cost price + profit = 273
X + 30x/100= 273
X = 210
Cost price of q is 210
Selling price of p is 210
Cost price + profit = 210
Y + 25y/100= 210
Y = 168
The cost price of p is Rs. 168.
7. kalyan bought 16 types of rava of certain rupees. After a week, he sold 6 types of rava at 20%profit,
6types of rava with neither profit nor loss and 4 types at 10%loss. In this transaction, what is the profit %?
Explanation: Let CP of 16 types =x
CP of 1 type= x/16
Sp of rice 20%=6x/16+6x/16*20/100=9x/20
Spof rice without profir or loss=6x/16=3x/8
Sp of rice at 10% loss= 4x/16-4x/16*10/100=9x/40
Total seling price=9x/20+3x/8+9x/40 = 42x/40
now profit%= [42x/40-x]/x *100 => 5%
8. Sridevi sells an article at a profit of 50%. If she had bought it at 40% less and sold it for Rs.21.50 less,
She would have gained 60%. Find the cost price of the article
Explanation: 1st selling price=150% of x = 150x/100 = 15x/10
New Cost price=60% of x = 60x/100 = 6x/10
2nd selling price = 160% of 6x/10 = 160/100 * 6x/10 = 96x/100
Therefore 15x/10 – 96x/100 = Rs.21.50
Therefore cost price of the article = Rs.40 (approx.)
9. A car worth Rs.2,50,000 is sold by usha to nandhini at 10 % profit. Nandhini sells the car back to usha at
4% loss. Then in the entire transaction total gain by usha is?
Explanation: Money spent by usha = Rs.2,50,000
Money received by usha = 110% of Rs.2,50,000 => 2,75,000
Cost price to usha = 96% of Rs.2,75.000 = Rs.2,64,000
Therefore usha gains Rs(2,75,000 – 2,64,000) = Rs.11000
10. A shopkeeper sells a cricket bat whose marked price is Rs.60 at a discount of 20% and gives a ball
costing Rs.3 free with each bat. Even then he makes a profit of 25%. His cost per bat is.
Explanation: Marked price = Rs.60
Selling price = Rs [(80/100 * 60) – 3]
Let cost price brRs x.
Then 125% of x = 45
(125/100 * x) = 45
Cost price of one bat = Rs.36
11. An product is sold at a loss of 10%. Had it been sold for Rs. 9 more, there would have been a gain of 12
1/2% on it. The cost price of the product is
Explanation: Let the cost price of the product = Rs. x
S.P. at 10% loss
= x×90/100= Rs. 9x/10
S.P. at 12 1/2 % gain
x × (100+12 1/2)/100 = Rs. 225x/200
9x/10 + 9 = 225x/200
180x + 1800 = 225x
x = Rs. 40
12. In order that there may be a profit of 15% after allowing a discount of 10% on the marked price, The
marked price of an book has to be increased by %?
Explanation: Mp= Rs x
Sp= 90x/100= 9x/10
Mp has increased by
13. Find the single discount equivalent to a series discount of 40%, 20% and 10%
Explanation: Let marked price be Rs 100
Then net selling price = 90% of 80% of 60% of Rs 100
= 90/100 *80/100 *60/100 *100
= Rs 43.2
Required discount = (100 – 43.2) % = 56.8%.
14. A substance is purchased for Rs. 300. If one fourth of the substance is sold at a loss of 10% and the
remaining at a gain of 5%, Find out the overall gain or loss percentage.
Explanation: Price Received by selling one fourth of the substance at a loss of 10% =
(1/4) * 300 * (90/100) = Rs. 67.5
Price Received by remaining substance at a gain of 5% = (3/4) * 300 * (105/100) = Rs.236.25 [Note: 1-(1/4) = 3/4]
Total Selling Price =RS303.75
Profit = 303.75 - 300 = 3.75
15. Kabi buys wheat at Rs. 15/kg and puts a price tag on it so as to earn a profit of 10%. However, his faulty
balance shows 1000 gm when it is actually 900 gm. What is his actual gain percentage?
Explanation: CP of 1000gm = Rs. 15
SP of 900gm = Rs. 16.5
SP of 1000gm =16.5x1000/900 = Rs. 18
Now take 1000gm as reference to calculate profit.
Profit % = 3x100/15 = 20%
16. In a certain occupation, the profit is 110% of the cost. If the cost increases by 13% but the selling price
remains constant, approximately what percentage of the selling price is the profit?
Explanation: Let Cp= RS.100
Profit= Rs 110
Sp= Rs 210
New Cp= 113%0f Rs.100=Rs. 113
New SP= Rs. 210
Profit= Rs. (210-113)= Rs. 97
Required %= 97/210*100=46%
17. A dealer allows a discount of 40 % on the marked price to the retailer. The retailer sells at 10% below the marked price. If the customer pays Rs.38 for an article, what profit is made by the retailer on it?
Explanation: Let dealer marked price = 100%, Retailer's C.P = 60% And the retailer sells at 10% less than the marked price =>S.P = 90% If S.P of 90% of the retailer costs Rs.38 to customer, So its C.P of 60% will cost 60*38/90 = 25 Profit made by the retailer = 38-25 = Rs.13
18. A seller mixes 30% water to milk and then he sells the whole mixture at the price of milk. If the cost price of water be 50% of the cost price of milk, what is the net profit percentage?
Explanation: Let CP of 1litre of milk = Rs.200 & CP of 1litre of water = Rs. 100
CP of solution=140+30=170
Sp of 1litre solution= 200
Profit%= (200-170)*100/170 = 17.64%
19. Kumaran stores offered 60% discount on the marked price and there is a loss of 30%. If it is sold the MP,
find the profit percentage?
Explanation: MP= Rs X
Sp= 40/100*x= 2x/5
Profit when sold at MP= x-4x/7 =3x/7
Profit% = (3x/7)/(4x/7)*100=75%
20. Rithick wants to buy a computer. He bought a computer listed at Rs 6000 with discount 30% offer on the
list price. What additional amount must be offered to rithick to bring the net price to Rs3950?
Explanation: Mp= 6000
Sp= 6000*70/100 =4200
required % = (4200-3950)/4200*100